8. Stephen King works on the derivatives trading floor at a large investment bank. He's been dreading today because his boss is coming downstairs to ask him questions regarding the minimum and maximum prices of certain options given various other pertinent information. Sure enough, here she is with the following questions. (Pretend you are Stephen, what would you answer for each?) a. The current price of a non-dividend paying stock is 60 . A European-style call option with a strike price of 65 and three months to maturity has a price of 3.50 . The continuously compounded interest rate is 3%. What is the minimum price of an American-style call option with a strike price of 65 and nine months to maturity? b. The current price of a non-dividend paying stock is 175. A European-style put option with a strike price of 170 and one year to maturity is 16.00 . The continuously compounded interest rate is 5%. What is the minimum price of a European-style call option with a strike price of 180 and one year to maturity